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If f x = min ⁡ x - 1 ,   x ,   x + 1 , then the value of 6 ∫ - 1 1 f x d x is

Correct answer

3

Step-by-step solution

∫ - 1 1 f x d x = shaded area = 2 1 2 b a s e ⋅ h e i g h t = 2 1 2 ⋅ 1 ⋅ 1 2 = 1 2

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